Min. 1st Qu. Median Mean 3rd Qu. Max.
-19.8663 -0.8485 -0.0663 0.1074 0.8228 29.6049

Effects of wildfire smoke on daily respiratory acute-care utilization has been estimated at the zip-code level in California (Do et al).
Rate differences per 100,000 are estimated at the zip code level.
Effect modification of this effect by community characteristics has been estimated.
The increase in risk difference per IQR increase in air conditioning prevalence is -0.239302618 (95% CI, -0.41143431, -0.0671709235), the corresponding IQR for AC prevalence is 6.000915e-01.
Over-arching question: How would hypothetically changing the distribution of the effect modifiers affect the total burden and spatial distribution of respiratory acute-care utilization?
RD is per 100,000
Min. 1st Qu. Median Mean 3rd Qu. Max.
-19.8663 -0.8485 -0.0663 0.1074 0.8228 29.6049

Distribution of air conditioning at the zip-code level
Min. 1st Qu. Median Mean 3rd Qu. Max. NA's
0.0000 0.2609 0.6250 0.5666 0.8710 1.0000 227

Hypothetically change the distribution of AC in three ways to assess how it would change the risk difference at the ZCTA level.
| ac_25th | ac_50th | ac_75th | ac_100th | ac_iqr |
|---|---|---|---|---|
| 0.2608696 | 0.625 | 0.8709678 | 1 | 0.6100982 |
Scenario 1: Among those zip codes with an AC prevalence below the median, raise their AC prevalence to the median (0.6250).
Scenario 2: Among those zip codes with an AC prevalence below the 75th percentile, raise their AC prevalence to the 75th percentile (0.8710).
Scenario 3: Same, but 100th percentile (1).
For each zip code, calculate the change in the AC proportion from the status quo to the target level. For example, if a zip code has a 50% AC prevalence, the difference from baseline to target in Scenario 1 is 12.5% (65.5%-50%). Then, express that difference in terms of the number of IQRs that it represents. The IQR of AC is 0.61 (above). That zip code would raise its AC prevalence by
0.125/.61[1] 0.204918
Then, use that value to calculate the new risk difference under that scenario, following this equation:
rd_target_pt=rd_baseline_pt+rd_per_ac_iqr_pt*ac_prop_change_per_iqr
where
rd_target_pt = the zip code’s new risk difference under the scenario
rd_per_ac_iqr_pt = the increase in the risk difference per change in IQR of AC
ac_prop_change_per_iqr = the number of IQRs changed in that zip code in that scenario
This assumes that the increase is linear.
In each of 1,000 replicatess, re-sample rd_baseline_pt and rd_per_ac_iqr_pt from a normal distribution using the reported standard deviation and 95% CI (assuming confidence limit is estimate +/- 1.96*SD).
Then, in each replicate, propagate this uncertainty by re-calculating rd_target_pt using the re-sampled input values.
The resulting uncertainty interval is 2.5th and 97.5th percentiles.
There are 1,396 total zip codes
n_zcta_intervene is the number of zip codes whose AC values would be changed under the scenario.
Risk differences are expressed per 100,000.
Means and sums are for those zctas with intervention
| target_percentile | n_zcta_intervene | rd_baseline_sum | rd_baseline_sum_ll | rd_baseline_sum_ul | rd_baseline_mean_unwt | rd_baseline_mean_unwt_ll | rd_baseline_mean_unwt_ul | rd_target_sum | rd_target_sum_ll | rd_target_sum_ul | rd_target_mean_unwt | rd_target_mean_unwt_ll | rd_target_mean_unwt_ul | rd_target_v_baseline_diff_in_sum | rd_target_v_baseline_diff_in_sum_ll | rd_target_v_baseline_diff_in_sum_ul |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0.50 | 580 | 129.604 | 51.876 | 208.044 | 0.223 | 0.089 | 0.359 | 49.258 | 82.215 | 236.335 | 0.085 | 0.142 | 0.407 | 80.345 | -32.392 | -26.742 |
| 0.75 | 876 | 144.325 | 53.005 | 246.992 | 0.165 | 0.061 | 0.282 | -5.982 | 109.718 | 300.287 | -0.007 | 0.125 | 0.343 | 150.307 | -59.610 | -50.506 |
| 1.00 | 1013 | 121.820 | 21.253 | 223.076 | 0.120 | 0.021 | 0.220 | -76.922 | 92.033 | 296.173 | -0.076 | 0.091 | 0.292 | 198.743 | -78.332 | -67.459 |
Values mapped are the risk difference per 100k for the corresponding scenario among those zip-codes that were intervened upon in that scenario.